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13275334016 = 277211318731
BaseRepresentation
bin11000101110100010…
…11000010110000000
31021021011212211201122
430113101120112000
5204141441142031
610033144251412
7646655322500
oct142721302600
937234784648
1013275334016
1156a2641a2a
1226a5a70b68
131337444639
148dd15ba00
1552a6dc47b
hex317458580

13275334016 has 96 divisors (see below), whose sum is σ = 31038736680. Its totient is φ = 5638778880.

The previous prime is 13275333997. The next prime is 13275334049. The reversal of 13275334016 is 61043357231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699371 + ... + 718101.

Almost surely, 213275334016 is an apocalyptic number.

13275334016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13275334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519368340).

13275334016 is an abundant number, since it is smaller than the sum of its proper divisors (17763402664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13275334016 is a wasteful number, since it uses less digits than its factorization.

13275334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18872 (or 18853 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 13275334016 in words is "thirteen billion, two hundred seventy-five million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 392 448 452 784 791 896 904 1568 1582 1808 3136 3164 3616 5537 6272 6328 7232 11074 12656 14464 18731 22148 25312 37462 44296 50624 74924 88592 101248 131117 149848 177184 262234 299696 354368 524468 599392 708736 917819 1048936 1198784 1835638 2097872 2116603 2397568 3671276 4195744 4233206 7342552 8391488 8466412 14685104 14816221 16782976 16932824 29370208 29632442 33865648 58740416 59264884 67731296 103713547 117480832 118529768 135462592 207427094 237059536 270925184 414854188 474119072 829708376 948238144 1659416752 1896476288 3318833504 6637667008 13275334016